KFU. Card publication. Differences and Commutators of Projections on a Hilbert Space

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FEDERAL UNIVERSITY

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DIFFERENCES AND COMMUTATORS OF PROJECTIONS ON A HILBERT SPACE

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Bikchentaev Ayrat Midkhatovich, author

Bibliographic description in the original language

A. Bikchentaev, Differences and Commutators of Projections on a Hilbert Space // International Journal of Theoretical Physics, 2022, - V. 61, no 1. Article 2. - 10 pp. https://doi.org/10.1007/s10773-022-04973-7

Annotation

We establish some new properties of pairs of idempotents and pairs of projections on a Hilbert space. The functional dependences of some operators associated with a pair of projections are found. Particular attention is paid to pairs of isoclinic projections. Such projections play an important role in non-commutative measure theory. Several relationships were obtained for the determinants. We also present an operator relation characterizing the non-trivial invariant subspace of such an operator.

Keywords

Hilbert space, Idempotent, Projection, Commutator, C*-algebra, Trace

The name of the journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=262600&p_lang=2

Resource files

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F_Bikchentaev_2022_International_Journal_of_Theoretical_Physics.pdf	0,31	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bikchentaev Ayrat Midkhatovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	A. Bikchentaev, Differences and Commutators of Projections on a Hilbert Space // International Journal of Theoretical Physics, 2022, - V. 61, no 1. Article 2. - 10 pp. https://doi.org/10.1007/s10773-022-04973-7	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=262600&p_lang=2	ru_RU
dc.description.abstract	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS	ru_RU
dc.description.abstract	We establish some new properties of pairs of idempotents and pairs of projections on a Hilbert space. The functional dependences of some operators associated with a pair of projections are found. Particular attention is paid to pairs of isoclinic projections. Such projections play an important role in non-commutative measure theory. Several relationships were obtained for the determinants. We also present an operator relation characterizing the non-trivial invariant subspace of such an operator.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	Idempotent	ru_RU
dc.subject	Projection	ru_RU
dc.subject	Commutator	ru_RU
dc.subject	C*-algebra	ru_RU
dc.subject	Trace	ru_RU
dc.title	Differences and Commutators of Projections on a Hilbert Space	ru_RU
dc.type	Articles in international journals and collections	ru_RU